Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#19153756 |
| Sylow | C181 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
2920 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37531800, #37531801, #37531802, … |
| maximal normal subgroup of | #37531800, #37531801, #37531802, … |
| maximal quotient of | C2×#26041055, C4×#19153756, C2×C22⋊#15668424, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 964);